746472040 has 64 divisors (see below), whose sum is σ = 1826485200. Its totient is φ = 273420288.

The previous prime is 746472007. The next prime is 746472053. The reversal of 746472040 is 40274647.

It can be written as a sum of positive squares in 8 ways, for example, as 359405764 + 387066276 = 18958^2 + 19674^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 746471987 and 746472005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10326 + ... + 39994.

Almost surely, 2^746472040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746472040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913242600).

746472040 is an abundant number, since it is smaller than the sum of its proper divisors (1080013160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

746472040 is a wasteful number, since it uses less digits than its factorization.

746472040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29734 (or 29730 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 746472040 is about 27321.6405071145. The cubic root of 746472040 is about 907.1334504101.

The spelling of 746472040 in words is "seven hundred forty-six million, four hundred seventy-two thousand, forty".